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Finding the Third Proportional to 95,201.16 and 209,085.47

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Solution

The third proportional to 95,201.16 and 209,085.47 is: 459,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,201.16 : 209,085.47 = 209,085.47 : x
  2. Step 2: Convert to fraction form
    95,201.16/209,085.47 = 209,085.47/x
  3. Step 3: Cross multiply
    95,201.16x = 209,085.47 × 209,085.47
  4. Step 4: Simplify right side
    95,201.16x = 43,716,733,242.41
  5. Step 5: Solve for x
    x = 43,716,733,242.41/95,201.16
  6. Step 6: Final answer
    x = 459,203.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.